Decay Estimates of Solutions for the Equations of Motion of Compressible Viscous and Heat-Conductive Gases in an Exterior Domain in ℝ3

Decay Estimates of Solutions for the Equations of Motion of Compressible Viscous and Heat-Conductive Gases in an Exterior Domain in ℝ3
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DOI:
10.1007/s002200050543
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发表时间:
1999
影响因子:
2.4
通讯作者:
Takayuki Kobayashi;Y. Shibata
Takayuki Kobayashi;Y. Shibata
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Takayuki Kobayashi;Y. Shibata

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我们考虑了可压缩粘性和导热气体在一个外部区域中的运动方程。我们给出了线性化方程解的L_q−L_p估计,并给出了非线性问题解的最优衰减估计。
We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3. We give theL_q−L_pestimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the nonlinear problem.